Vol. 55

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues

Mathematical Modelling of Electromagnetic Scattering from a Thin Penetrable Target

By Zinoviy Theodorovych Nazarchuk and Kazuya Kobayashi
Progress In Electromagnetics Research, Vol. 55, 95-116, 2005


Three mathematical models based on approximate surface integral equations for electromagnetic analysis of scalar wave scattering from thin extended target are considered. Such models include different systems of the second kind singular integral equations determined on the target median. The effective algorithm for direct (without preliminary regularization) numerical solution of the systems is based on the special quadrature formulae for singular integrals. Verification of the mathematical models and their comparison is performed in the case of penetrable cylindrical shell in homogeneous non-magnetic medium.


 (See works that cites this article)
Zinoviy Theodorovych Nazarchuk and Kazuya Kobayashi, "Mathematical Modelling of Electromagnetic Scattering from a Thin Penetrable Target," Progress In Electromagnetics Research, Vol. 55, 95-116, 2005.


    1. Mitzner, K. M, "Effective boundary conditions for reflection and transmission by an absorbing shell of arbitrary shape," IEEE Trans. Antennas and Propagation, Vol. 16, 706-712, 1968.

    2. Harrington, R. F. and J. R. Mautz, "An impedance sheet approximation for thin dielectric shells," IEEE Trans. Antennas and Propagation, Vol. 36, 531-534, 1975.

    3. Grinberg, Yu. R., "Boundary conditions for electromagnetic fields in the case of thin metallic shells presence," Radiotechnics and Electronics, Vol. 26, No. 12, 2494-2499, 1981.

    4. Senior, B. A., "Combined resistive and conductive sheets," IEEE Trans. Antennas and Propagation, Vol. 33, 577-579, 1985.

    5. Bouchitte, G. and R. Petit, "On the concept of a perfectly conducting material and of a perfectly conducting and infinitely thin screen," Radio Science, Vol. 24, No. 1, 13-26, 1989.

    6. Bleszynski, E., M. Bleszynski, and T. Jaroszewicz, "Surface-integral equations for electromagnetic scattering from impenetrable and penetrable sheets," IEEE Antennas and Propagation Magazine, Vol. 35, No. 6, 14-25, 1993.

    7. Nazarchuk, Z. T., "Singular integral equations in diffraction theory," 210, 1994.

    8. Senior, T. B. A. and J. Volakis, "Approximate boundary conditions in electromagnetics," 353, 1995.

    9. Tsalamengas, J. L., J. G. Fikioris, and B. T. Babili, "Direct and efficient solutions of integral equations for scattering from strips and slots," J. Applied Physics, Vol. 66, No. 7, 69-80, 1989.

    10. Hoppe, D. J. and Y. Rahmat-Samii, "Scattering by superquadric dielectric-coated cylinders using higher order impedance boundary conditions," IEEE Trans. Antennas and Propagation, Vol. 40, 1513-1523, 1992.

    11. Lerer, A. M. and A. G. Schuchinsky, "Full-wave analysis of three-dimensional planar structures," IEEE Trans. Microwave Theory and Techniques, Vol. 41, No. 11, 2002-2014, 1993.

    12. Nosich, A. I., Y. Okuno, and T. Shiraishi, "Scattering and absorption of E- and H-polarized plane waves by a circularly curved resistive strip," Radio Science, Vol. 31, No. 6, 1733-1742, 1996.

    13. Prosvirnin, S. L., S. A. Masalov, A. V. Ryzhak, and V. M. Shkil', "Diffraction of electromagnetic waves from plane grating of resistive strips," Radiotechnics and Electronics, Vol. 43, No. 7, 792-796, 1998.

    14. Zinenko, T. L., A. I. Nosich, and Y. Okuno, "Plane wave scattering and absorption by resistive-strip and dielectric-strip periodic gratings," IEEE Trans. Antennas and Propagation, Vol. 46, No. 10, 1498-1505, 1998.

    15. Matsushima, A., T. L. Zinenko, H. Minami, and Y. Okuno, "Integral equation analysis of plane wave scattering from multilayered resistive strip gratings," J. Electromagnetic Waves and Application, Vol. 12, 1449-1469, 1998.

    16. Zinenko, T. L., A. Matsushima, and Y. Okuno, "Scattering and absorption of electromagnetic plane waves by a multilayered resistive strip grating embedded in a dielectric slab," Tranc. IEICE Electronics, Vol. E82-C, No. 12, 2255-2264, 1999.

    17. Markov, G. T. and A. F. Chaplin, "Electromagnetic waves excitation," 376, 1967.

    18. Harrington, R. F., Field Computation by Moment Method, 480.

    19. Khizhnyak, N. A., "Integral equations of macroscopic electrodynamics," 279, 1986.

    20. Karp, S. N. and F. C. Karal Jr., "Generalized impedance boundary conditions with applications to surface wave structures," Electromagnetic Wave Theory, 479-483, 1965.

    21. Richmond, J. H., "Scattering by a dielectric cylinder of arbitrary cross-section shape," IEEE Trans. Antennas and Propagation, Vol. 13, No. 3, 334-341, 1965.

    22. Richmond, J. H., "TE-wave scattering by a dielectric cylinder of arbitrary cross-section shape," Ibid., Vol. 14, No. 4, 460-464, 1966.

    23. Panasyuk, V. V., M. P. Savruk, and Z. T. Nazarchuk, "Method of singular integral equations in two-dimensional diffraction problems," 344, 1984.

    24. Nazarchuk, Z. T., "Numerical investigation of wave diffraction from cylindrical structures," 256, 1989.

    25. Nazarchuk, Z, "Singular integral equations in wave diffraction on thin cylindrical obstacle," Abstracts of 2001 International Work- shop on Advanced Electromagnetics (IWAE'01), 2001.

    26. Pidstryhach, Ya. S. and H. S. Kit, "Determination of temperature fields and stresses in the vicinity of heat-conducting cracks," Thermal Stresses in Construction Elements, Vol. 7, 194-201.

    27. Nazarchuk, Z. T., "Mathematical modelling of electromagnetic wave scattering by a thin penetrable defect," Materials Science, Vol. 39, No. 3, 97-108, 2003.

    28. Bowman, J. J., T. B. A. Senior, and P. L. E. Uslenghi, Electromagnetic and Acoustic Scattering by Simple Shapes, 728, North-Holland Publ. Co., Amsterdam, 1969.

    29. Ruck, G. T., D. E. Barrick, W. D. Stuart, and C. K. Krichbaum, Radar Cross Section Handbook, Vol. 1, Vol. 1, 472, Plenum, New York, 1970.